Question

Which statements are true? check all that apply.the line x = 0 is perpendicular to the line y = –3.all lines that are parallel to the y-axis are vertical lines.all lines that are perpendicular to the x-axis have a slope of 0.the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2.the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1?

Answer 1

Answer:

The correct options are 1, 2 and 5.

Step-by-step explanation:

All vertical lines are defined as x=a and all horizontal lines are defined as y=b.

All vertical lines are perpendicular to the line horizontal lines.

Line x = 0 is vertical line and  y = –3 is a horizontal line. So line x = 0 is perpendicular to the line y = –3.

Therefore option 1 is correct.

Since y-axis is a vertical line so all lines that are parallel to the y-axis are vertical lines.

Therefore option 2 is correct.

Since x-axis is a horizontal line so all lines that are perpendicular to the x-axis are vertical lines. The slope of all vertical lines is ∞.

All lines that are perpendicular to the x-axis have a slope ∞.

Therefore, option 3 is incorrect.

The equation of the line parallel to the x-axis that passes through the point (2, –6) is y=-6 because it is a horizontal line.

Therefore, option 4 is incorrect.

The equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1 because it is a horizontal line.

Therefore, option 5 is correct.

Answer 2

The first and the second statements are correct
i think